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The following article will add knowledge about “Two wires are tied to the 2.5 kg sphere shown in the figure. (Figure 1)“. Let’s not forget to look at the content!
Question
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Two wires are tied to the 2.5 kg sphere shown in the figure. (Figure 1) The sphere evolves in horizontal circle at constant speed Part A For what speed is the tension the same in both wires?
Express your answer to two significant figures and include the appropriate units. E0) Value Units Submit Request Answer Figure 1 of 1 Part B What is the tension? Express your answer to two significant figures and include the appropriate units. E0) T = Value Units Submit Request Answer
Answer “Two wires are tied to the 2.5 kg sphere shown in the figure. (Figure 1)”.
Circular Motion:
The acceleration in circular motion is toward the center of rotation. It is given by
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where R is the radius of rotation.
A) The following set of equations can be used to determine the motion of the sphere:
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Here,
- T1 is the tension in the upper wire
- T2 is the tension in the bottom wire
If T1 = T2 = T, we obtain:
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We use velocity to achieve:
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The following equation can give you the radius of rotation R:
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We obtain:
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Finally, we calculate the velocity to be:
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The angular velocity is the speed at which rotation occurs:
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B) The following factors determine the tension of the wires:
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Calculation yields:
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Last results is T = 18N
Last words
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